We present a mathematical model exhibiting the empirically observed damping rates in elastic systems. The models studied are of the form ( A A the relevant elasticity operator) \[ x ¨ + B x ˙ + A x = 0 x + B x + Ax = 0 \] with B B related in various ways to the positive square root, A 1 / 2 {A1/2} , of A A . Comparison with existing “ad hoc” models is made.
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Chen et al. (1982) studied this question.
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